The realization space is
  [1   0   1        1   0   1      x1 - 2    0    1    1    1]
  [0   1   1   x1 - 1   0   0           0    1    1   -1   -1]
  [0   0   0        0   1   1   x1^2 - x1   -1   x1    1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (6*x1^5 - 22*x1^4 + 36*x1^3 - 28*x1^2 + 8*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, 2, x1, x1 - 2, x1^2 - 2*x1 + 2, x1 + 1, x1^2 - x1 + 2, 2*x1^2 - 3*x1 + 2]